Math 185. Complex Analysis
Department of Mathematics
University of California, Berkeley
Fall 2009
This is an introductory course on complex analysis.
The official prerequisite for taking this course is Math
104: Introduction to Analysis.
Announcements
- 12/08/09: Office hours 1–2PM, Wed, Dec 09 and 1–3PM, Tue,
Dec 15.
- 12/05/09: Revision lecture in 9 Evans, 1–2PM, Mon, Dec
07.
- 12/05/09: Problem Set 10 and solutions posted.
- 12/05/09: Final Exam to be held in 2 Leconte from
5–8PM, Wed, Dec 16.
- 11/30/09: Solutions to Problem Set
9 posted.
- 11/23/09: Solutions to Problem Set
8 posted.
- 11/20/09: Problem Set 9 posted.
- 11/17/09: Solutions to Problem Set
7 posted.
- 11/14/09: Solutions to Problem Set
6 posted.
- 11/14/09: Problem Set 8 posted.
- 11/08/09: Problem Set 7 posted.
- 11/01/09: Problem Set 6 posted.
- 10/24/09: Solutions to Problem Set
5 posted.
- 10/21/09: Office hours next week: 2–3PM on Mon, Oct 26
and Tue, Oct 27.
- 10/21/09: Solutions to Problem Set
4 posted.
- 10/19/09: Midterm Exam to be held in 106 Stanley from
1–2PM, Wed, Oct 28.
- 10/19/09: Solutions to Problem Set
3 posted.
- 10/17/09: Problem Set 5 posted.
- 10/12/09: Mon 12–1PM office hour moved to Fri 2–3PM.
- 10/03/09: Problem Set 4 posted.
- 09/29/09: Solutions to Problem Set
2 posted.
- 09/26/09: Problem Set 3 posted.
- 09/18/09: Office hours next week: MW 4–5PM, W 2–3PM.
- 09/17/09: Problem Set 2 posted.
- 09/11/09: Solutions to Problem Set
1 posted.
- 09/05/09: Problem Set 1 posted.
- 08/14/09: This class is currently oversubscribed. Prof. Richard
Borcherds will teach the same course 3:30–5, TT in 123 Wheeler Hall.
Please attend his lectures instead if you are still on the waiting
list.
- 08/14/09: Check this page regularly for announcements.
Lectures
Location: Evans Hall,
Room 9
Times: 1:00–2:00 PM on Mon/Wed/Fri
Course staff
Instructor: Lek-Heng
Lim
Evans Hall, Room 873
lekheng(at)math.berkeley.edu
(510) 642-8576
Office hours: 12:00–1:00 PM, Mon and Wed, 2:00 AM–3:00
PM, Wed
Syllabus
- Analytic functions of a complex variable
- Cauchy's integral theorem
- Power series
- Laurent series
- Singularities of analytic functions
- Residue theorem with application to definite integrals
- Additional topics
Homework will be assigned once a week and will be due the following
week (except possibly in the weeks when there is a midterm).
Collaborations are permitted but you will need to write up your own
solutions.
- Problem Set 10: PDF (posted: Dec 05;
not collected); Solutions: PDF
(posted: Dec 05)
- Problem Set 9: PDF (posted: Nov 20;
due: Nov 30); Solutions: PDF
(posted: Nov 30)
- Problem Set 8: PDF (posted: Nov 14;
due: Nov 20); Solutions: PDF
(posted: Nov 23)
- Problem Set 7: PDF (posted: Nov 08;
due: Nov 13)); Solutions: PDF
(posted: Nov 17)
- Problem Set 6: PDF (posted: Nov 01;
due: Nov 06); Solutions: PDF
(posted: Nov 14)
- Problem Set 5: PDF (posted: Oct 17;
due: Oct 23); Solutions: PDF
(posted: Oct 24)
- Problem Set 4: PDF (posted: Oct 03;
due: Oct 07); Solutions: PDF
(posted: Oct 21)
- Problem Set 3: PDF (posted: Sep 26;
due: Oct 02); Solutions: PDF
(posted: Oct 19)
- Problem Set 2: PDF (posted: Sep 17;
due: Sep 25); Solutions: PDF
(posted: Sep 29)
- Problem Set 1: PDF (posted: Sep 05;
due: Sep 11); Solutions: PDF (posted:
Sep 11)
Bug report on the problem sets or the solutions:
lekheng(at)math.berkeley.edu
Supplementary materials
Grades
Grade composition: 40% Homework, 20% Midterm, 40% Final
Textbooks
The second book is optional. It's more advanced than the first book but
covers the same basic materials. You can choose either of them — buy
the second book if you're looking for something that remains useful in
a graduate course on complex analysis.
- Joseph Bak and Donald Newman, Complex Analysis, 2nd Ed.,
Springer, 1997. Buy
or browse
- David Ullrich, Complex Made Simple, AMS, 2008. Buy or browse